Answer:
∠ A = 42° , ∠ G = 85°
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc.
(3)
∠ A is an inscribed angle , so
∠ A = [tex]\frac{1}{2}[/tex] BC = [tex]\frac{1}{2}[/tex] × 84° = 42°
(4)
∠ G is an inscribed angle but we require arc DF
the sum of the arcs in a circle = 360°
FG + GD + FD = 360°
70° + 120° + FD = 360°
190° + FD = 360° ( subtract 190° from both sides )
FD = 170°
Then
∠ G = [tex]\frac{1}{2}[/tex] DF = [tex]\frac{1}{2}[/tex] × 170° = 85°
